Question

A 50-minute TV program consists of five commercials, each 4 3 5 minutes long, and six equal‐length entertainment segments. How long is each entertainment segment? Enter your answer as a mixed fraction. Each entertainment segment is minutes long.

Answer 1

Each entertainment segment is
`4(1)/(2)` minutes long.

Explanation:

Length of each commercial is
`4(3)/(5)` minutes.

The TV program consists of total 5 commercials. So, the total length of 5 commercials will be:
`(4(3)/(5)* 5)minutes = ((23)/(5)* 5)minutes = 23` minutes.

The length of the TV program is given as 50 minutes and there are 6 equal‐length entertainment segments.

So, the total length of 6 entertainment segments will be:
`(50-23) minutes = 27` minutes.

Thus, the length of each entertainment segment
`=(27)/(6)= (9)/(2)=4 (1)/(2)` minutes.